An on-line modeling method of the sandwich systems with dead zone is proposed in this paper. In this modeling scheme, the so-called key term separation principle is employed in order to handle the nonsmooth nonlinear ...
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In order to improve the performance of the system with piezoelectric actuators, one of the approaches is to construct an inverse model of the hysteresis to cascade with the actuator so as to compensate for the effect ...
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In order to improve the performance of the system with piezoelectric actuators, one of the approaches is to construct an inverse model of the hysteresis to cascade with the actuator so as to compensate for the effect of hysteresis involved in the piezoelectric actuators. In this paper, a neural networks based inverse model for the hysteresis is proposed. In this scheme, an inverse hysteretic operator is proposed to transform the multi-valued mapping of the inverse hysteresis into a kind of one-to-one mapping so that the neural networks are capable of implementing identification for the hysteresis inverse.
A neural model for hysteresis based on expanded input space is proposed in this article. In this method, the behavior of hysteresis is considered as a dynamic system that can be described by a nonlinear state space eq...
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A neural model for hysteresis based on expanded input space is proposed in this article. In this method, the behavior of hysteresis is considered as a dynamic system that can be described by a nonlinear state space equation containing hysteretic state. In order to transfer the multi-valued mapping of hysteresis into a one-to-one mapping, an expanded input space involving the original input variable and a so-called Duhem operator is constructed. Thus, the neural networks can be employed to approximate the relation between the hysteretic state and the output of the system that is also the output of hysteresis. The proposed model has a simple architecture that can be easily implemented for on-line adaptation for the model in case of the unexpected change of operating environment. Furthermore, the dynamic performance of the model is improved because of the existence of Duhem operator. Finally, the method is used to the modeling of hysteresis in a piezoelectric actuator.
This paper proposes a novel and simple approach for modeling of the inverse hysteresis. In this method, the continuous transformation technique is utilized to construct an elementary inverse hysteresis model (EIHM), w...
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A hybrid model used to approximate hysteresis and creep nonlinear system is proposed. This model is constructed by a weighted superposition of both backlash operators and creep operators. Then, the corresponding inver...
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An adaptive control scheme is developed for a class of single-input nonlinear systems preceded by unknown hysteresis, which is a non-differentiable and multi-value mapping nonlinearity. The controller based on the thr...
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An adaptive control scheme is developed for a class of single-input nonlinear systems preceded by unknown hysteresis, which is a non-differentiable and multi-value mapping nonlinearity. The controller based on the three-layer neural network (NN), whose weights are derived from Lyapunov stability analysis, guarantees closed-loop semiglobal stability and convergence of the tracking errors to a small residual set. An example is used to confirm the effectiveness of the proposed control scheme.
This paper proposes a neural model for hysteresis. A method of continuous transformation is used to construct an elementary hysteresis model (EHM), which implements a one-to-one mapping between the input space and the...
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A hybrid model used to approximate hysteresis and creep nonlinear system is proposed. This model is constructed by a weighted superposition of both backlash operators and creep operators. Then, the corresponding inver...
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A hybrid model used to approximate hysteresis and creep nonlinear system is proposed. This model is constructed by a weighted superposition of both backlash operators and creep operators. Then, the corresponding inverse models for both hysteresis and creep are developed. Based on the obtained models, a nonlinear internal model control strategy is applied to the control of a system with hysteresis and creep nonlinearities
An adaptive control strategy is presented for dynamic sandwich systems with hysteresis. The so-called sandwich system with hysteresis is the system that can be represented by a cascade of a dynamic smooth nonlinear (D...
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An adaptive control strategy is presented for dynamic sandwich systems with hysteresis. The so-called sandwich system with hysteresis is the system that can be represented by a cascade of a dynamic smooth nonlinear (DSNL1), a hysteresis nonlinear (HNL) and another dynamic smooth nonlinear (DSNL2) subsystem. In this control strategy, a neural network based inverse model is constructed to compensate for the effect of the first dynamic block (i.e. DSNL1) of the sandwich system. Thus, the sandwich system can be transformed into a dynamic nonlinear subsystem preceded by hysteresis. Then a novel hysteretic operator is proposed to transform the multi-valued mapping of hysteresis into a one-to-one mapping. Base on the proposed hysteretic operator, a neural adaptive controller is developed for the modified system. One of the advantages of the controller is that it does not need to construct the inverse model of hysteresis to cancel the hysteretic effect
This paper proposes a novel and simple approach for modeling of the inverse hysteresis. In this method, the continuous transformation technique is utilized to construct an elementary inverse hysteresis model (EIHM), w...
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This paper proposes a novel and simple approach for modeling of the inverse hysteresis. In this method, the continuous transformation technique is utilized to construct an elementary inverse hysteresis model (EIHM), which sets up a one-to-one mapping between the input space and the output space of the inverse hysteresis nonlinearity. Then the output of the EIHM is used as one of the input signals of the neural network (NN) to approximate the inverse behavior of hysteresis. Finally, the proposed method is applied to the modeling of the inverse model of hysteresis inherent in piezoelectric actuator
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